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Classification Error Rate Estimators Evaluated by Unconditional Mean Squared Error

 

作者: StevenM. Snapinn,   JamesD. Knoke,  

 

期刊: Technometrics  (Taylor Available online 1984)
卷期: Volume 26, issue 4  

页码: 371-378

 

ISSN:0040-1706

 

年代: 1984

 

DOI:10.1080/00401706.1984.10487990

 

出版商: Taylor & Francis Group

 

关键词: Discriminant analysis;Conditional error rate;Unconditional mean squared error;Monte Carlo sampling;Numerical integration

 

数据来源: Taylor

 

摘要:

In this article the criterion of unconditional mean squared error is used to compare four commonly used estimators of error rates in discriminant analysis. The leave-one-out estimator, which has relatively small bias, is found to perform well relative to the other estimators when a large number of explanatory variables are used in the discriminant function. With a small number of explanatory variables, the large variance of this estimator results in poor performance. We also find the estimators that assume normally distributed explanatory variables to be nonrobust when the parent distributions are skewed or have large tails.

 

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